Finding the Third Proportional to 52,823 and 115,123

Step by Step Solution

1. Step 1: Write the proportion equation
   52,823 : 115,123 = 115,123 : x
2. Step 2: Convert to fraction form
   52,823/115,123 = 115,123/x
3. Step 3: Cross multiply
   52,823x = 115,123 × 115,123
4. Step 4: Simplify right side
   52,823x = 13,253,305,129
5. Step 5: Solve for x
   x = 13,253,305,129/52,823
6. Step 6: Final answer
   x = 250,900.27